Least Common Multiple (LCM) of 152 and 166
The least common multiple (LCM) of 152 and 166 is 12616.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 152 and 166?
First, calculate the GCD of 152 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 166 = 0 remainder 152 |
| 2 | 166 ÷ 152 = 1 remainder 14 |
| 3 | 152 ÷ 14 = 10 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 147 | 8967 |
| 40 and 30 | 120 |
| 183 and 42 | 2562 |
| 69 and 12 | 276 |
| 21 and 108 | 756 |